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Finding the Fourth Proportional to 784.19, 1,176.69 and 569.54

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Solution

The fourth proportional to 784.19, 1,176.69 and 569.54 is: 854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.19 : 1,176.69 = 569.54 : x
  2. Step 2: Convert to fraction form
    784.19/1,176.69 = 569.54/x
  3. Step 3: Cross multiply
    784.19x = 1,176.69 × 569.54
  4. Step 4: Simplify right side
    784.19x = 670,166.14
  5. Step 5: Solve for x
    x = 670,166.14/784.19
  6. Step 6: Final answer
    x = 854.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.